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Three-state majority-vote model on small-world networks
Bernardo J Zubillaga1, André L M Vilela2,3, Minggang Wang4,5
1Center for Polymer Studies and Department of Physics, Boston University, Boston, 02115, USA. berzub@bu.edu.
Scientific Reports
|January 8, 2022
Summary
Rewiring social networks enhances order in opinion dynamics. This study analyzes the three-state majority-vote model on small-world networks, revealing changes in critical exponents and universality classes.
Area of Science:
- Statistical Physics
- Complex Systems
- Social Network Analysis
Background:
- Opinion dynamics models are crucial for understanding social behavior.
- Small-world networks capture key features of real-world social interactions.
- The three-state majority-vote model simulates opinion formation with noise.
Purpose of the Study:
- Investigate opinion dynamics of the three-state majority-vote model on small-world networks.
- Analyze the impact of rewiring probability on network topology and phase transitions.
- Determine critical noise and critical exponents for varying network structures.
Main Methods:
- Utilized Monte Carlo simulations to study the three-state majority-vote model.
- Generated small-world networks by rewiring a 2D square lattice with probability p.
- Characterized network topology using degree distribution, average clustering coefficient, and average shortest path length.
Main Results:
- Observed a second-order phase transition in the opinion dynamics.
- Calculated critical noise and critical exponents for different rewiring probabilities (p).
- Demonstrated that rewiring enhances social order and shifts universality classes.
Conclusions:
- Rewiring connections in social networks promotes greater social order.
- The three-state majority-vote model on small-world networks exhibits distinct critical behavior compared to lattice models.
- Network topology significantly influences opinion dynamics and phase transitions.
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